Hardy-Sobolev inequalities for the biharmonic operator with remainder terms

摘要

We first review improvements of (first-order) Sobolev and Hardy inequalities by the addition of suitable lower-order terms (these improved inequalities have been pioneered by Brezis and Nirenberg (1983) and Brezis and Vazquez (1997)). Recently, corresponding results concerning first-order Hardy-Sobolev and higher-order Sobolev and Hardy inequalities have been proved.